Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - I discuss the basic idea of Newton's Method and how to use it. I do one example using Newton's Method to approximate a root.
For more free math videos, visit http://PatrickJMT.com

published:09 Nov 2008

views:605883

This calculus video tutorial explains the concept behind Newton's Method to approximate and find roots or zeros of a polynomial function. You can use it to find the decimal value of square roots and cube roots. This video contains plenty of examples and practice problems. You can use Newton's Method to solve nonlinear systems of equations.

published:19 Nov 2016

views:57107

This calculus video tutorial provides a basic introduction into newton's method. It explains how to use newton's method to find the zero of a function which is the same as the x-intercept. You need to guess a value of x and use newton's method with 2 or 3 iterations to get an accurate estimation for the solution to the polynomial equation. This video contains only 1 example problem.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

published:06 Mar 2018

views:3018

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - More Examples Part 1 of 3. Here I give the Newton's Method formula and use it to find two iterations of an approximation to a root. I do NOT discuss the geometric idea of Newtons method in this video (I do this in my more viewed video titled simply ' Newton's Method)

published:03 May 2011

views:235938

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. concept of Newton Raphson Method
2. Working rule of Newton Raphson Method
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

published:18 Mar 2016

views:237749

Visithttp://ilectureonline.com for more math and science lectures!
In this video I will explain the basics of Newton's method of finding the roots of a function.

In this video we are going to how we can adapt Newton's method to solve systems of nonlinear algebraic equations.

published:08 Dec 2017

views:5827

published:12 Jul 2011

views:51150

I calculate the inverse of the Jacobian. You can also use cramer's rule to solve this kind of question but it is more time consuming.
Below is a Matlab code created by Carlos Vicente Dominguez, Specialization in Power Systems graduate student at Universidad Central de Venezuela. Thank you Carlos!
%This program solves a system of 2 nonlinear equations
%Method of Newton-Raphson of LauraSoriano's video
format long
%Size of matrices used
J=zeros(2,2);
B=zeros(2,1);
x=zeros(16,1);
y=zeros(16,1);
DELTA=zeros(2,1);
MM=zeros(16,1);
%Data
%Initial guess
x(1)=1;
y(1)=1;
%Data
%Error of approximation
error=0.0001;
disp('Results of Method of Newton-Raphson from video of Laura Soriano');
disp('The initial guess is:');
disp('x(0)=');
disp(x(1));
disp('y(0)=');
disp(y(1));
n=15;
for k=1:n
%Data
%System of nonlinear equations
f1=4*x(k)^2-y(k)^3+28;
f2=3*x(k)^3+4*y(k)^2-145;
B=[f1; f2];
%Data
%Jacobian matrixJ(1,1)=+8*x(k);
J(1,2)=-3*y(k)^2;
J(2,1)=+9*x(k)^2;
J(2,2)=+8*y(k);
DELTA = -inv(J)*B;
x(k+1)=x(k)+DELTA(1,1);
y(k+1)=y(k)+DELTA(2,1);
disp(sprintf('Results of iteration number %1.0f',k));
disp(sprintf('x(%1.0f)=',k));
disp(x(k+1));
disp(sprintf('y(%1.0f)=',k));
disp(y(k+1));
%Formula of the mismatch used
MM(k+1) = ((x(k+1)-x(k))^2+(y(k+1)-y(k))^2)^0.5;
if MM(k+1) < error
disp(sprintf('The mismatch was less than the error of approximation at iteration number %1.0f', k));
disp('The last mismatch was=');
disp(MM(k+1));
disp('The error of approximation was set at=');
disp(error);
disp('Values of x=');
disp(x);
disp('Values of y=');
disp(y);
disp('Values of mismatch=');
disp(MM);
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
if k==10
disp(sprintf('This program has made %1.0f iterations and has not reached any solution. Change the initial guess or change the value of the error of approximation.',k))
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
end﻿

published:02 Mar 2014

views:134464

Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form f(x)=0. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/newton_raphson.html

The method starts with a function f defined over the real numbersx, the function's derivativef', and an initial guess x0 for a root of the function f. If the function satisfies the assumptions made in the derivation of the formula and the initial guess is close, then a better approximation x1 is

Geometrically, (x1, 0) is the intersection with the x-axis of the tangent to the graph of f at (x0, f(x0)).

Description

The idea of the method is as follows: one starts with an initial guess which is reasonably close to the true root, then the function is approximated by its tangent line (which can be computed using the tools of calculus), and one computes the x-intercept of this tangent line (which is easily done with elementary algebra). This x-intercept will typically be a better approximation to the function's root than the original guess, and the method can be iterated.

Definition

Given a twice continuously differentiable function of one real variable, Taylor's theorem for the case states that

where is the remainder term. The linear approximation is obtained by dropping the remainder:

This is a good approximation for when it is close enough to ; since a curve, when closely observed, will begin to resemble a straight line. Therefore, the expression on the right-hand side is just the equation for the tangent line to the graph of at . For this reason, this process is also called the tangent line approximation.

If is concave down in the interval between and , the approximation will be an overestimate (since the derivative is decreasing in that interval). If is concave up, the approximation will be an underestimate.

Newton's Method

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - I discuss the basic idea of Newton's Method and how to use it. I do one example using Newton's Method to approximate a root.
For more free math videos, visit http://PatrickJMT.com

This calculus video tutorial explains the concept behind Newton's Method to approximate and find roots or zeros of a polynomial function. You can use it to find the decimal value of square roots and cube roots. This video contains plenty of examples and practice problems. You can use Newton's Method to solve nonlinear systems of equations.

10:41

Newton's Method

Newton's Method

Newton's Method

This calculus video tutorial provides a basic introduction into newton's method. It explains how to use newton's method to find the zero of a function which is the same as the x-intercept. You need to guess a value of x and use newton's method with 2 or 3 iterations to get an accurate estimation for the solution to the polynomial equation. This video contains only 1 example problem.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

6:54

Newton's Method - More Examples Part 1 of 3

Newton's Method - More Examples Part 1 of 3

Newton's Method - More Examples Part 1 of 3

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - More Examples Part 1 of 3. Here I give the Newton's Method formula and use it to find two iterations of an approximation to a root. I do NOT discuss the geometric idea of Newtons method in this video (I do this in my more viewed video titled simply ' Newton's Method)

9:04

Newton Raphson Method in hindi(Part-I)

Newton Raphson Method in hindi(Part-I)

Newton Raphson Method in hindi(Part-I)

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. concept of Newton Raphson Method
2. Working rule of Newton Raphson Method
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

8:46

Calculus: Newton's Method (1 of 7) Basics: Roots of Functions

Calculus: Newton's Method (1 of 7) Basics: Roots of Functions

Calculus: Newton's Method (1 of 7) Basics: Roots of Functions

Visithttp://ilectureonline.com for more math and science lectures!
In this video I will explain the basics of Newton's method of finding the roots of a function.

Newton's method for solving nonlinear systems of Algebraic equations

In this video we are going to how we can adapt Newton's method to solve systems of nonlinear algebraic equations.

11:16

(ML 15.1) Newton's method (for optimization) - intuition

(ML 15.1) Newton's method (for optimization) - intuition

(ML 15.1) Newton's method (for optimization) - intuition

19:50

system of nonlinear equations - Newton's method

system of nonlinear equations - Newton's method

system of nonlinear equations - Newton's method

I calculate the inverse of the Jacobian. You can also use cramer's rule to solve this kind of question but it is more time consuming.
Below is a Matlab code created by Carlos Vicente Dominguez, Specialization in Power Systems graduate student at Universidad Central de Venezuela. Thank you Carlos!
%This program solves a system of 2 nonlinear equations
%Method of Newton-Raphson of LauraSoriano's video
format long
%Size of matrices used
J=zeros(2,2);
B=zeros(2,1);
x=zeros(16,1);
y=zeros(16,1);
DELTA=zeros(2,1);
MM=zeros(16,1);
%Data
%Initial guess
x(1)=1;
y(1)=1;
%Data
%Error of approximation
error=0.0001;
disp('Results of Method of Newton-Raphson from video of Laura Soriano');
disp('The initial guess is:');
disp('x(0)=');
disp(x(1));
disp('y(0)=');
disp(y(1));
n=15;
for k=1:n
%Data
%System of nonlinear equations
f1=4*x(k)^2-y(k)^3+28;
f2=3*x(k)^3+4*y(k)^2-145;
B=[f1; f2];
%Data
%Jacobian matrixJ(1,1)=+8*x(k);
J(1,2)=-3*y(k)^2;
J(2,1)=+9*x(k)^2;
J(2,2)=+8*y(k);
DELTA = -inv(J)*B;
x(k+1)=x(k)+DELTA(1,1);
y(k+1)=y(k)+DELTA(2,1);
disp(sprintf('Results of iteration number %1.0f',k));
disp(sprintf('x(%1.0f)=',k));
disp(x(k+1));
disp(sprintf('y(%1.0f)=',k));
disp(y(k+1));
%Formula of the mismatch used
MM(k+1) = ((x(k+1)-x(k))^2+(y(k+1)-y(k))^2)^0.5;
if MM(k+1) < error
disp(sprintf('The mismatch was less than the error of approximation at iteration number %1.0f', k));
disp('The last mismatch was=');
disp(MM(k+1));
disp('The error of approximation was set at=');
disp(error);
disp('Values of x=');
disp(x);
disp('Values of y=');
disp(y);
disp('Values of mismatch=');
disp(MM);
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
if k==10
disp(sprintf('This program has made %1.0f iterations and has not reached any solution. Change the initial guess or change the value of the error of approximation.',k))
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
end﻿

10:07

Newton-Raphson Method: Example

Newton-Raphson Method: Example

Newton-Raphson Method: Example

Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form f(x)=0. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/newton_raphson.html

Newton's Method Linear Approximation Estimating a Zero of a Function

I introduce how to estimate zeros using Newton's Method ( Newton-Raphson ) and work through three examples.
Estimating a Zero of a Function at 9:50
Estimating where two even functions intersect at 20:40
When Newton's Method fails at 27:51
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

9:22

How to use NEWTON'S METHOD (KristaKingMath)

How to use NEWTON'S METHOD (KristaKingMath)

How to use NEWTON'S METHOD (KristaKingMath)

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
Newton's method is a tool you can use to estimate the root of a function, which is the point at which the function crosses the x-axis.
The only tricky part about using Newton's method is picking a starting value. The starting value is like your first estimate for the root, and the closer the starting value is to the actual root, the fewer the iterations of Newton's method you'll have to do. Sometimes it'll be easy to pick a starting value, because you'll be given an interval in which to look for the root, and you can just pick the midpoint of the interval.
If you're not given a closed interval, then you'll want to try to guess where the root might be, and pick a starting value close to that. If you don't have any guess, you can always just pick a starting value of 0.
Once you have the starting value, you'll plug it into the Newton's method formula. You have to always use the previous result of the Newton's method formula to get the next estimate, and you keep applying the formula over and over until you get the estimate to repeat the same value to a certain number of decimals.
● ● ● GET EXTRAHELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
TWITTER // https://twitter.com/KristaKingMath
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PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

(ML 15.2) Newton's method (for optimization) in multiple dimensions

Newton's Method

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - I discuss the basic idea of Newton's Method and how to use it. I do one example using Newton's Method to approximate a root.
For more free math videos, visit http://PatrickJMT.com

This calculus video tutorial explains the concept behind Newton's Method to approximate and find roots or zeros of a polynomial function. You can use it to find the decimal value of square roots and cube roots. This video contains plenty of examples and practice problems. You can use Newton's Method to solve nonlinear systems of equations.

published: 19 Nov 2016

Newton's Method

This calculus video tutorial provides a basic introduction into newton's method. It explains how to use newton's method to find the zero of a function which is the same as the x-intercept. You need to guess a value of x and use newton's method with 2 or 3 iterations to get an accurate estimation for the solution to the polynomial equation. This video contains only 1 example problem.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

published: 06 Mar 2018

Newton's Method - More Examples Part 1 of 3

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - More Examples Part 1 of 3. Here I give the Newton's Method formula and use it to find two iterations of an approximation to a root. I do NOT discuss the geometric idea of Newtons method in this video (I do this in my more viewed video titled simply ' Newton's Method)

published: 03 May 2011

Newton Raphson Method in hindi(Part-I)

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. concept of Newton Raphson Method
2. Working rule of Newton Raphson Method
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

published: 18 Mar 2016

Calculus: Newton's Method (1 of 7) Basics: Roots of Functions

Visithttp://ilectureonline.com for more math and science lectures!
In this video I will explain the basics of Newton's method of finding the roots of a function.

Newton-Raphson Method: Example

Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form f(x)=0. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/newton_raphson.html

Newton's Method Linear Approximation Estimating a Zero of a Function

I introduce how to estimate zeros using Newton's Method ( Newton-Raphson ) and work through three examples.
Estimating a Zero of a Function at 9:50
Estimating where two even functions intersect at 20:40
When Newton's Method fails at 27:51
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

published: 10 Jun 2015

How to use NEWTON'S METHOD (KristaKingMath)

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
Newton's method is a tool you can use to estimate the root of a function, which is the point at which the function crosses the x-axis.
The only tricky part about using Newton's method is picking a starting value. The starting value is like your first estimate for the root, and the closer the starting value is to the actual root, the fewer the iterations of Newton's method you'll have to do. Sometimes it'll be easy to pick a starting value, because you'll be given an interval in which to look for the root, and you can just pick the midpoint of the interval.
If you're not given a closed interval, then you'll want to try to guess where the root might be, and pick a starting value clos...

(ML 15.2) Newton's method (for optimization) in multiple dimensions

Newton's Method

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - I discuss t...

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - I discuss the basic idea of Newton's Method and how to use it. I do one example using Newton's Method to approximate a root.
For more free math videos, visit http://PatrickJMT.com

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - I discuss the basic idea of Newton's Method and how to use it. I do one example using Newton's Method to approximate a root.
For more free math videos, visit http://PatrickJMT.com

This calculus video tutorial explains the concept behind Newton's Method to approximate and find roots or zeros of a polynomial function. You can use it to fin...

This calculus video tutorial explains the concept behind Newton's Method to approximate and find roots or zeros of a polynomial function. You can use it to find the decimal value of square roots and cube roots. This video contains plenty of examples and practice problems. You can use Newton's Method to solve nonlinear systems of equations.

This calculus video tutorial explains the concept behind Newton's Method to approximate and find roots or zeros of a polynomial function. You can use it to find the decimal value of square roots and cube roots. This video contains plenty of examples and practice problems. You can use Newton's Method to solve nonlinear systems of equations.

Newton's Method

This calculus video tutorial provides a basic introduction into newton's method. It explains how to use newton's method to find the zero of a function which is...

This calculus video tutorial provides a basic introduction into newton's method. It explains how to use newton's method to find the zero of a function which is the same as the x-intercept. You need to guess a value of x and use newton's method with 2 or 3 iterations to get an accurate estimation for the solution to the polynomial equation. This video contains only 1 example problem.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

This calculus video tutorial provides a basic introduction into newton's method. It explains how to use newton's method to find the zero of a function which is the same as the x-intercept. You need to guess a value of x and use newton's method with 2 or 3 iterations to get an accurate estimation for the solution to the polynomial equation. This video contains only 1 example problem.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

Newton's Method - More Examples Part 1 of 3

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - More Exampl...

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - More Examples Part 1 of 3. Here I give the Newton's Method formula and use it to find two iterations of an approximation to a root. I do NOT discuss the geometric idea of Newtons method in this video (I do this in my more viewed video titled simply ' Newton's Method)

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - More Examples Part 1 of 3. Here I give the Newton's Method formula and use it to find two iterations of an approximation to a root. I do NOT discuss the geometric idea of Newtons method in this video (I do this in my more viewed video titled simply ' Newton's Method)

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. concept of Newton Raphson Method
2. Working rule of Newton Raphson Method
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. concept of Newton Raphson Method
2. Working rule of Newton Raphson Method
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

system of nonlinear equations - Newton's method

I calculate the inverse of the Jacobian. You can also use cramer's rule to solve this kind of question but it is more time consuming.
Below is a Matlab code cr...

I calculate the inverse of the Jacobian. You can also use cramer's rule to solve this kind of question but it is more time consuming.
Below is a Matlab code created by Carlos Vicente Dominguez, Specialization in Power Systems graduate student at Universidad Central de Venezuela. Thank you Carlos!
%This program solves a system of 2 nonlinear equations
%Method of Newton-Raphson of LauraSoriano's video
format long
%Size of matrices used
J=zeros(2,2);
B=zeros(2,1);
x=zeros(16,1);
y=zeros(16,1);
DELTA=zeros(2,1);
MM=zeros(16,1);
%Data
%Initial guess
x(1)=1;
y(1)=1;
%Data
%Error of approximation
error=0.0001;
disp('Results of Method of Newton-Raphson from video of Laura Soriano');
disp('The initial guess is:');
disp('x(0)=');
disp(x(1));
disp('y(0)=');
disp(y(1));
n=15;
for k=1:n
%Data
%System of nonlinear equations
f1=4*x(k)^2-y(k)^3+28;
f2=3*x(k)^3+4*y(k)^2-145;
B=[f1; f2];
%Data
%Jacobian matrixJ(1,1)=+8*x(k);
J(1,2)=-3*y(k)^2;
J(2,1)=+9*x(k)^2;
J(2,2)=+8*y(k);
DELTA = -inv(J)*B;
x(k+1)=x(k)+DELTA(1,1);
y(k+1)=y(k)+DELTA(2,1);
disp(sprintf('Results of iteration number %1.0f',k));
disp(sprintf('x(%1.0f)=',k));
disp(x(k+1));
disp(sprintf('y(%1.0f)=',k));
disp(y(k+1));
%Formula of the mismatch used
MM(k+1) = ((x(k+1)-x(k))^2+(y(k+1)-y(k))^2)^0.5;
if MM(k+1) < error
disp(sprintf('The mismatch was less than the error of approximation at iteration number %1.0f', k));
disp('The last mismatch was=');
disp(MM(k+1));
disp('The error of approximation was set at=');
disp(error);
disp('Values of x=');
disp(x);
disp('Values of y=');
disp(y);
disp('Values of mismatch=');
disp(MM);
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
if k==10
disp(sprintf('This program has made %1.0f iterations and has not reached any solution. Change the initial guess or change the value of the error of approximation.',k))
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
end﻿

I calculate the inverse of the Jacobian. You can also use cramer's rule to solve this kind of question but it is more time consuming.
Below is a Matlab code created by Carlos Vicente Dominguez, Specialization in Power Systems graduate student at Universidad Central de Venezuela. Thank you Carlos!
%This program solves a system of 2 nonlinear equations
%Method of Newton-Raphson of LauraSoriano's video
format long
%Size of matrices used
J=zeros(2,2);
B=zeros(2,1);
x=zeros(16,1);
y=zeros(16,1);
DELTA=zeros(2,1);
MM=zeros(16,1);
%Data
%Initial guess
x(1)=1;
y(1)=1;
%Data
%Error of approximation
error=0.0001;
disp('Results of Method of Newton-Raphson from video of Laura Soriano');
disp('The initial guess is:');
disp('x(0)=');
disp(x(1));
disp('y(0)=');
disp(y(1));
n=15;
for k=1:n
%Data
%System of nonlinear equations
f1=4*x(k)^2-y(k)^3+28;
f2=3*x(k)^3+4*y(k)^2-145;
B=[f1; f2];
%Data
%Jacobian matrixJ(1,1)=+8*x(k);
J(1,2)=-3*y(k)^2;
J(2,1)=+9*x(k)^2;
J(2,2)=+8*y(k);
DELTA = -inv(J)*B;
x(k+1)=x(k)+DELTA(1,1);
y(k+1)=y(k)+DELTA(2,1);
disp(sprintf('Results of iteration number %1.0f',k));
disp(sprintf('x(%1.0f)=',k));
disp(x(k+1));
disp(sprintf('y(%1.0f)=',k));
disp(y(k+1));
%Formula of the mismatch used
MM(k+1) = ((x(k+1)-x(k))^2+(y(k+1)-y(k))^2)^0.5;
if MM(k+1) < error
disp(sprintf('The mismatch was less than the error of approximation at iteration number %1.0f', k));
disp('The last mismatch was=');
disp(MM(k+1));
disp('The error of approximation was set at=');
disp(error);
disp('Values of x=');
disp(x);
disp('Values of y=');
disp(y);
disp('Values of mismatch=');
disp(MM);
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
if k==10
disp(sprintf('This program has made %1.0f iterations and has not reached any solution. Change the initial guess or change the value of the error of approximation.',k))
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
end﻿

Newton-Raphson Method: Example

Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form f(x)=0. For more videos and resources on this topic, please visit htt...

Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form f(x)=0. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/newton_raphson.html

Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form f(x)=0. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/newton_raphson.html

I introduce how to estimate zeros using Newton's Method ( Newton-Raphson ) and work through three examples.
Estimating a Zero of a Function at 9:50
Estimating where two even functions intersect at 20:40
When Newton's Method fails at 27:51
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

I introduce how to estimate zeros using Newton's Method ( Newton-Raphson ) and work through three examples.
Estimating a Zero of a Function at 9:50
Estimating where two even functions intersect at 20:40
When Newton's Method fails at 27:51
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

How to use NEWTON'S METHOD (KristaKingMath)

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
Newton's method is a tool you can use to estimate th...

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
Newton's method is a tool you can use to estimate the root of a function, which is the point at which the function crosses the x-axis.
The only tricky part about using Newton's method is picking a starting value. The starting value is like your first estimate for the root, and the closer the starting value is to the actual root, the fewer the iterations of Newton's method you'll have to do. Sometimes it'll be easy to pick a starting value, because you'll be given an interval in which to look for the root, and you can just pick the midpoint of the interval.
If you're not given a closed interval, then you'll want to try to guess where the root might be, and pick a starting value close to that. If you don't have any guess, you can always just pick a starting value of 0.
Once you have the starting value, you'll plug it into the Newton's method formula. You have to always use the previous result of the Newton's method formula to get the next estimate, and you keep applying the formula over and over until you get the estimate to repeat the same value to a certain number of decimals.
● ● ● GET EXTRAHELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
TWITTER // https://twitter.com/KristaKingMath
INSTAGRAM // https://www.instagram.com/kristakingmath/
PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

► My Applications of Derivatives course: https://www.kristakingmath.com/applications-of-derivatives-course
Newton's method is a tool you can use to estimate the root of a function, which is the point at which the function crosses the x-axis.
The only tricky part about using Newton's method is picking a starting value. The starting value is like your first estimate for the root, and the closer the starting value is to the actual root, the fewer the iterations of Newton's method you'll have to do. Sometimes it'll be easy to pick a starting value, because you'll be given an interval in which to look for the root, and you can just pick the midpoint of the interval.
If you're not given a closed interval, then you'll want to try to guess where the root might be, and pick a starting value close to that. If you don't have any guess, you can always just pick a starting value of 0.
Once you have the starting value, you'll plug it into the Newton's method formula. You have to always use the previous result of the Newton's method formula to get the next estimate, and you keep applying the formula over and over until you get the estimate to repeat the same value to a certain number of decimals.
● ● ● GET EXTRAHELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
TWITTER // https://twitter.com/KristaKingMath
INSTAGRAM // https://www.instagram.com/kristakingmath/
PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

Newton's Method Linear Approximation Estimating a Zero of a Function

I introduce how to estimate zeros using Newton's Method ( Newton-Raphson ) and work through three examples.
Estimating a Zero of a Function at 9:50
Estimating where two even functions intersect at 20:40
When Newton's Method fails at 27:51
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

published: 10 Jun 2015

Newton Raphson Method in hindi(Part-II)

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. Two solved example
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

Newton’s Method

In this video, we demonstrate the use of Newton’s Method for finding the roots of an equation. The example problem is solved several ways in Maple, using a variety of Clickable Math and command-based approaches.
For more information, visit us at:
http://www.maplesoft.com/products/?ref=youtube

We show how Newton is able to approximate a root for a given polynomial based upon guessing and neglecting higher-order terms. Today, we call this the Newton-Raphson Method and typically introduce it in the setting of a calculus course. It turns out that no concept of slope or tangent line is needed to see why the method works.
In this video series, we will discuss the text "The Method of Fluxions and Infinite Series" by Isaac Newton. It is one of the first major texts outlining the infinitesimal calculus, covering: infinite series, fluxions/derivatives, anti-derivatives, and some geometric applications.
Here's a link to the text:
http://gymportalen.dk/sites/lru.dk/files/lru/2_1_a_treatise.pdfPlease leave questions and/or comments below!

published: 02 Feb 2016

MathFoundations84: Newton's method for approximating cube roots

We discuss cubes, cube roots and the impossibility of finding a cube root of 5 exactly. However Newton's method applies to allow us to find numbers whose cubes are approximately equal to 5. In this case there is also a higher variant which uses tangent conics instead of tangent lines.
This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discussing the serious logical difficulties entwined in modern pure mathematics. The full playlist is at http://www.youtube.com/playlist?list=PL5A714C94D40392AB&feature=view_all
A screenshot PDF which includes MathFoundations80 to 121 can be found at my WildEgg website here: http://www.wildegg.com/store/p102/product-Math-Foundations-B1-screenshot-pdf

Mod-06 Lec-14 Classical Newton Method

Lecture 22: Newton's method in optimization

We take a bit of a tour through some topics showing how what we've learned about QP can be applied to solving more general optimisation problems by Newton's method. This lecture is just a taste of what might want to study next.

published: 13 Apr 2012

How to use Newton's method and graphical interpretation

Here I show how to use the Newton (Newton-Raphson) method for approximating answers to functions. I emphasize a graphical interpretation (intuition) of WHY it works,using the familiar X squared function (X^2=10). In a future video we will approximate answers to solve x to the x power = 10 the same way. Download the handout so you can graph along at home at www.burkeyacademy.com under Files (called Newton1.pdf).

I introduce how to estimate zeros using Newton's Method ( Newton-Raphson ) and work through three examples.
Estimating a Zero of a Function at 9:50
Estimating where two even functions intersect at 20:40
When Newton's Method fails at 27:51
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

I introduce how to estimate zeros using Newton's Method ( Newton-Raphson ) and work through three examples.
Estimating a Zero of a Function at 9:50
Estimating where two even functions intersect at 20:40
When Newton's Method fails at 27:51
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. Two solved example
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. Two solved example
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

Newton’s Method

In this video, we demonstrate the use of Newton’s Method for finding the roots of an equation. The example problem is solved several ways in Maple, using a vari...

In this video, we demonstrate the use of Newton’s Method for finding the roots of an equation. The example problem is solved several ways in Maple, using a variety of Clickable Math and command-based approaches.
For more information, visit us at:
http://www.maplesoft.com/products/?ref=youtube

In this video, we demonstrate the use of Newton’s Method for finding the roots of an equation. The example problem is solved several ways in Maple, using a variety of Clickable Math and command-based approaches.
For more information, visit us at:
http://www.maplesoft.com/products/?ref=youtube

We show how Newton is able to approximate a root for a given polynomial based upon guessing and neglecting higher-order terms. Today, we call this the Newton-Ra...

We show how Newton is able to approximate a root for a given polynomial based upon guessing and neglecting higher-order terms. Today, we call this the Newton-Raphson Method and typically introduce it in the setting of a calculus course. It turns out that no concept of slope or tangent line is needed to see why the method works.
In this video series, we will discuss the text "The Method of Fluxions and Infinite Series" by Isaac Newton. It is one of the first major texts outlining the infinitesimal calculus, covering: infinite series, fluxions/derivatives, anti-derivatives, and some geometric applications.
Here's a link to the text:
http://gymportalen.dk/sites/lru.dk/files/lru/2_1_a_treatise.pdfPlease leave questions and/or comments below!

We show how Newton is able to approximate a root for a given polynomial based upon guessing and neglecting higher-order terms. Today, we call this the Newton-Raphson Method and typically introduce it in the setting of a calculus course. It turns out that no concept of slope or tangent line is needed to see why the method works.
In this video series, we will discuss the text "The Method of Fluxions and Infinite Series" by Isaac Newton. It is one of the first major texts outlining the infinitesimal calculus, covering: infinite series, fluxions/derivatives, anti-derivatives, and some geometric applications.
Here's a link to the text:
http://gymportalen.dk/sites/lru.dk/files/lru/2_1_a_treatise.pdfPlease leave questions and/or comments below!

MathFoundations84: Newton's method for approximating cube roots

We discuss cubes, cube roots and the impossibility of finding a cube root of 5 exactly. However Newton's method applies to allow us to find numbers whose cubes ...

We discuss cubes, cube roots and the impossibility of finding a cube root of 5 exactly. However Newton's method applies to allow us to find numbers whose cubes are approximately equal to 5. In this case there is also a higher variant which uses tangent conics instead of tangent lines.
This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discussing the serious logical difficulties entwined in modern pure mathematics. The full playlist is at http://www.youtube.com/playlist?list=PL5A714C94D40392AB&feature=view_all
A screenshot PDF which includes MathFoundations80 to 121 can be found at my WildEgg website here: http://www.wildegg.com/store/p102/product-Math-Foundations-B1-screenshot-pdf

We discuss cubes, cube roots and the impossibility of finding a cube root of 5 exactly. However Newton's method applies to allow us to find numbers whose cubes are approximately equal to 5. In this case there is also a higher variant which uses tangent conics instead of tangent lines.
This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discussing the serious logical difficulties entwined in modern pure mathematics. The full playlist is at http://www.youtube.com/playlist?list=PL5A714C94D40392AB&feature=view_all
A screenshot PDF which includes MathFoundations80 to 121 can be found at my WildEgg website here: http://www.wildegg.com/store/p102/product-Math-Foundations-B1-screenshot-pdf

Lecture 22: Newton's method in optimization

We take a bit of a tour through some topics showing how what we've learned about QP can be applied to solving more general optimisation problems by Newton's met...

We take a bit of a tour through some topics showing how what we've learned about QP can be applied to solving more general optimisation problems by Newton's method. This lecture is just a taste of what might want to study next.

We take a bit of a tour through some topics showing how what we've learned about QP can be applied to solving more general optimisation problems by Newton's method. This lecture is just a taste of what might want to study next.

How to use Newton's method and graphical interpretation

Here I show how to use the Newton (Newton-Raphson) method for approximating answers to functions. I emphasize a graphical interpretation (intuition) of WHY it ...

Here I show how to use the Newton (Newton-Raphson) method for approximating answers to functions. I emphasize a graphical interpretation (intuition) of WHY it works,using the familiar X squared function (X^2=10). In a future video we will approximate answers to solve x to the x power = 10 the same way. Download the handout so you can graph along at home at www.burkeyacademy.com under Files (called Newton1.pdf).

Here I show how to use the Newton (Newton-Raphson) method for approximating answers to functions. I emphasize a graphical interpretation (intuition) of WHY it works,using the familiar X squared function (X^2=10). In a future video we will approximate answers to solve x to the x power = 10 the same way. Download the handout so you can graph along at home at www.burkeyacademy.com under Files (called Newton1.pdf).

Newton's Method

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - I discuss the basic idea of Newton's Method and how to use it. I do one example using Newton's Method to approximate a root.
For more free math videos, visit http://PatrickJMT.com

This calculus video tutorial explains the concept behind Newton's Method to approximate and find roots or zeros of a polynomial function. You can use it to find the decimal value of square roots and cube roots. This video contains plenty of examples and practice problems. You can use Newton's Method to solve nonlinear systems of equations.

10:41

Newton's Method

This calculus video tutorial provides a basic introduction into newton's method. It expla...

Newton's Method

This calculus video tutorial provides a basic introduction into newton's method. It explains how to use newton's method to find the zero of a function which is the same as the x-intercept. You need to guess a value of x and use newton's method with 2 or 3 iterations to get an accurate estimation for the solution to the polynomial equation. This video contains only 1 example problem.
Calculus VideoPlaylist:
https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
Access to Premium Videos:
https://www.patreon.com/MathScienceTutor
https://www.facebook.com/MathScienceTutoring/

6:54

Newton's Method - More Examples Part 1 of 3

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :...

Newton's Method - More Examples Part 1 of 3

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Newton's Method - More Examples Part 1 of 3. Here I give the Newton's Method formula and use it to find two iterations of an approximation to a root. I do NOT discuss the geometric idea of Newtons method in this video (I do this in my more viewed video titled simply ' Newton's Method)

9:04

Newton Raphson Method in hindi(Part-I)

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and B...

Newton Raphson Method in hindi(Part-I)

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. concept of Newton Raphson Method
2. Working rule of Newton Raphson Method
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

8:46

Calculus: Newton's Method (1 of 7) Basics: Roots of Functions

Visit http://ilectureonline.com for more math and science lectures!
In this video I will ...

system of nonlinear equations - Newton's method

I calculate the inverse of the Jacobian. You can also use cramer's rule to solve this kind of question but it is more time consuming.
Below is a Matlab code created by Carlos Vicente Dominguez, Specialization in Power Systems graduate student at Universidad Central de Venezuela. Thank you Carlos!
%This program solves a system of 2 nonlinear equations
%Method of Newton-Raphson of LauraSoriano's video
format long
%Size of matrices used
J=zeros(2,2);
B=zeros(2,1);
x=zeros(16,1);
y=zeros(16,1);
DELTA=zeros(2,1);
MM=zeros(16,1);
%Data
%Initial guess
x(1)=1;
y(1)=1;
%Data
%Error of approximation
error=0.0001;
disp('Results of Method of Newton-Raphson from video of Laura Soriano');
disp('The initial guess is:');
disp('x(0)=');
disp(x(1));
disp('y(0)=');
disp(y(1));
n=15;
for k=1:n
%Data
%System of nonlinear equations
f1=4*x(k)^2-y(k)^3+28;
f2=3*x(k)^3+4*y(k)^2-145;
B=[f1; f2];
%Data
%Jacobian matrixJ(1,1)=+8*x(k);
J(1,2)=-3*y(k)^2;
J(2,1)=+9*x(k)^2;
J(2,2)=+8*y(k);
DELTA = -inv(J)*B;
x(k+1)=x(k)+DELTA(1,1);
y(k+1)=y(k)+DELTA(2,1);
disp(sprintf('Results of iteration number %1.0f',k));
disp(sprintf('x(%1.0f)=',k));
disp(x(k+1));
disp(sprintf('y(%1.0f)=',k));
disp(y(k+1));
%Formula of the mismatch used
MM(k+1) = ((x(k+1)-x(k))^2+(y(k+1)-y(k))^2)^0.5;
if MM(k+1) < error
disp(sprintf('The mismatch was less than the error of approximation at iteration number %1.0f', k));
disp('The last mismatch was=');
disp(MM(k+1));
disp('The error of approximation was set at=');
disp(error);
disp('Values of x=');
disp(x);
disp('Values of y=');
disp(y);
disp('Values of mismatch=');
disp(MM);
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
if k==10
disp(sprintf('This program has made %1.0f iterations and has not reached any solution. Change the initial guess or change the value of the error of approximation.',k))
disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.')
format short
break
else
end
end﻿

10:07

Newton-Raphson Method: Example

Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form...

Newton-Raphson Method: Example

Learn via an example the Newton-Raphson method of solving a nonlinear equation of the form f(x)=0. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/newton_raphson.html

The method starts with a function f defined over the real numbersx, the function's derivativef', and an initial guess x0 for a root of the function f. If the function satisfies the assumptions made in the derivation of the formula and the initial guess is close, then a better approximation x1 is

Geometrically, (x1, 0) is the intersection with the x-axis of the tangent to the graph of f at (x0, f(x0)).

Description

The idea of the method is as follows: one starts with an initial guess which is reasonably close to the true root, then the function is approximated by its tangent line (which can be computed using the tools of calculus), and one computes the x-intercept of this tangent line (which is easily done with elementary algebra). This x-intercept will typically be a better approximation to the function's root than the original guess, and the method can be iterated.

NORWALK — New Canaan’s performance in the FCIAC semifinals was —in a word — methodical. It never looked too flashy, but the No. 2 Rams were efficient from top-to-bottom and beginning to end in their 10-6 win over No. 3 Ridgefield Wednesday afternoon at Brien McMahon High School. New Canaan will face the winner of No. 1Darien and No. 4Wilton on Friday looking for its first FCIAC title since winning back-to-back in 2012 and ’13 ... ....

Newton's Method Linear Approximation Estimating a Zero of a Function

I introduce how to estimate zeros using Newton's Method ( Newton-Raphson ) and work through three examples.
Estimating a Zero of a Function at 9:50
Estimating where two even functions intersect at 20:40
When Newton's Method fails at 27:51
Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at http://www.mathplane.com

21:17

Newton Raphson Method in hindi(Part-II)

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and B...

Newton Raphson Method in hindi(Part-II)

This video lecture " Newton Raphson Method in hindi(Part-I) " will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics:
1. Two solved example
soon we will upload next video.
For any query and feedback, please write us at:
jaipal.vishwakarma@gmail.com
OR call us at: +919301197409(Hike number)
For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "MathsBhopal"...

Newton’s Method

In this video, we demonstrate the use of Newton’s Method for finding the roots of an equation. The example problem is solved several ways in Maple, using a variety of Clickable Math and command-based approaches.
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We show how Newton is able to approximate a root for a given polynomial based upon guessing and neglecting higher-order terms. Today, we call this the Newton-Raphson Method and typically introduce it in the setting of a calculus course. It turns out that no concept of slope or tangent line is needed to see why the method works.
In this video series, we will discuss the text "The Method of Fluxions and Infinite Series" by Isaac Newton. It is one of the first major texts outlining the infinitesimal calculus, covering: infinite series, fluxions/derivatives, anti-derivatives, and some geometric applications.
Here's a link to the text:
http://gymportalen.dk/sites/lru.dk/files/lru/2_1_a_treatise.pdfPlease leave questions and/or comments below!

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